Analytic determination of the eight-and-a-half post-Newtonian self-force contributions to the two-body gravitational interaction potential (Articolo in rivista)

Type
Label
  • Analytic determination of the eight-and-a-half post-Newtonian self-force contributions to the two-body gravitational interaction potential (Articolo in rivista) (literal)
Anno
  • 2014-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1103/PhysRevD.89.104047 (literal)
Alternative label
  • Bini, Donato; Damour, Thibault (2014)
    Analytic determination of the eight-and-a-half post-Newtonian self-force contributions to the two-body gravitational interaction potential
    in Physical review. D, Particles, fields, gravitation, and cosmology
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Bini, Donato; Damour, Thibault (literal)
Pagina inizio
  • 104047 (literal)
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  • 89 (literal)
Rivista
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  • 12 (literal)
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  • 10 (literal)
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Consiglio Nazionale delle Ricerche (CNR); Inst Hautes Etud Sci (literal)
Titolo
  • Analytic determination of the eight-and-a-half post-Newtonian self-force contributions to the two-body gravitational interaction potential (literal)
Abstract
  • We analytically compute, to the eight-and-a-half post-Newtonian order, and to linear order in the mass ratio, the radial potential describing (within the effective one-body formalism) the gravitational interaction of two bodies, thereby extending previous analytic results. These results are obtained by applying analytical gravitational self-force theory (for a particle in circular orbit around a Schwarzschild black hole) to Detweiler's gauge-invariant redshift variable. We emphasize the increase in \"transcendentality\" of the numbers entering the post-Newtonian expansion coefficients as the order increases, in particular we note the appearance of zeta(3) (as well as the square of Euler's constant gamma) starting at the seventh post-Newtonian order. We study the convergence of the post-Newtonian expansion as the expansion parameter u = GM/(c(2)r) leaves the weak-field domain u << 1 to enter the strong field domain u = O(1). (literal)
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